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Finding the Fourth Proportional to 9,182.67, 12,672.14 and 5,406

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Solution

The fourth proportional to 9,182.67, 12,672.14 and 5,406 is: 7,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.67 : 12,672.14 = 5,406 : x
  2. Step 2: Convert to fraction form
    9,182.67/12,672.14 = 5,406/x
  3. Step 3: Cross multiply
    9,182.67x = 12,672.14 × 5,406
  4. Step 4: Simplify right side
    9,182.67x = 68,505,561.81
  5. Step 5: Solve for x
    x = 68,505,561.81/9,182.67
  6. Step 6: Final answer
    x = 7,460.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.